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1: 14.26 Uniform Asymptotic Expansions
For an extension of §14.15(iv) to complex argument and imaginary parameters, see Dunster (1990b). …
2: 10.1 Special Notation
For older notations see British Association for the Advancement of Science (1937, pp. xix–xx) and Watson (1944, Chapters 1–3).
3: 14.34 Software
  • Gil and Segura (1998). Integer parameters and purely imaginary arguments. Fortran.

  • 4: 19.7 Connection Formulas
    Imaginary-Argument Transformation
    5: 8.6 Integral Representations
    6: 10.25 Definitions
    Its solutions are called modified Bessel functions or Bessel functions of imaginary argument. …
    7: 10.77 Software
    §10.77(vi) Bessel Functions–Imaginary Order and Real Argument
    8: 11.8 Analogs to Kelvin Functions
    §11.8 Analogs to Kelvin Functions
    For properties of Struve functions of argument x e ± 3 π i / 4 see McLachlan and Meyers (1936).
    9: Bibliography B
  • R. Barakat (1961) Evaluation of the incomplete gamma function of imaginary argument by Chebyshev polynomials. Math. Comp. 15 (73), pp. 7–11.
  • 10: 22.6 Elementary Identities
    §22.6(iv) Rotation of Argument (Jacobi’s Imaginary Transformation)